Bogoliubov Lab. of Theoretical Physics,

Joint Institute for Nuclear Research,

141980 Dubna, Moscow Region, RUSSIA

E-mail: pakuliak@thsun1.jinr.ru

**Integral presentations for the universal R-matrices
in quantum current algebras**

**Abstract:**

We consider the quantized current algebras with Drinfeld's coproduct.
An integral formula for the universal *R*-matrix in terms of
total currents will be discussed.
Factorization of the universal *R*-matrix in two cocycle
and integral formulas associated with the standard coproduct in the case of simplest quantum affine algebra
*U _{q}*(